Question

can you work out the sum of cubes in two different ways which equals 1729?

Answer 1

Answer is :-

${1}^{3} + {12}^{3 } = 1729$
${10}^{3} + {9}^{3} = 1729$
HOPE IT HELPS!!!!

Answer 2

"The sum of cubes that equals 1729 can be written in two ways as suggested by Ramanujan. They are:

1729= (12)3+ (1)3= (10)3+ (9)3

1729 is the smallest number which can be written in the form of cube of two positive integers in two ways.

But when we consider the negative integer, smallest possible number will be 91.

91= (6)3+ (-5)3= (4)3+ (3)3

"